2141978688 has 112 divisors (see below), whose sum is σ = 6329680000. Its totient is φ = 710290944.

The previous prime is 2141978659. The next prime is 2141978693. The reversal of 2141978688 is 8868791412.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340758 + ... + 346986.

It is an arithmetic number, because the mean of its divisors is an integer number (56515000).

Almost surely, 2^2141978688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164840000).

2141978688 is an abundant number, since it is smaller than the sum of its proper divisors (4187701312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141978688 is a wasteful number, since it uses less digits than its factorization.

2141978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6433 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 2141978688 is about 46281.5156190892. The cubic root of 2141978688 is about 1289.0557936497.

The spelling of 2141978688 in words is "two billion, one hundred forty-one million, nine hundred seventy-eight thousand, six hundred eighty-eight".